Answer:
f = 27
Step-by-step explanation:
11 = f - 16
Add 16 to both sides.
11 + 16 = f - 16 + 16
27 = f
A line passes through the point (6,1)and has a slope of 3/2. write an equation in slope intercept form
Answer:
Step-by-step explanation:
Slope intercept form : y - y1 = m(x -x1)
m = 3/2
(x1, y1) = (6, 1)
[tex]y - 1 = \frac{3}{2}(x - 6)\\\\y -1 = \frac{3}{2}*x -\frac{3}{2}*6\\\\y-1=\frac{3}{2}x-3*3\\\\y-1=\frac{3}{2}x-9\\\\y=\frac{3}{2}x-9+1\\\\y=\frac{3}{2}x -8[/tex]
Answer:
y=3/2 x -8
Step-by-step explanation:
The slope should be in front of the x and the y intercept should be right after the x to create the slope intercept form. I used a graphing calculator which continued the line of 6,1 with a slope of 3/2 and then got
y=3/2x-8
The number of members of an online community increases each month. The
function M(t) = N(1 + ) represents the number of members at month t, where
Nis the initial number of members and ris the rate of increase. Select the
correct statement.
O A. Nincreases each month.
B. The initial value is (1 + r).
C. The function is linear.
D. The value of Mis a product of Nand a factor that does not depend
on N.
Plot 1 1/3 and 2 7/9
Answer:
I plotted them for you!
The first dot (closest to the left) is 1 1/3 and the one closest to the right is 2 7/9 :)
Step-by-step explanation:
Hope this helped :) good luck!
Which equation gives the length of the altitude of ABC?
Answer:
B. AD = sqrt(CD * BD)
Step-by-step explanation:
By the right triangle altitude theorem,
CD/AD = AD/BD
AD^2 = CD * BD
AD = sqrt(CD * BD)
Answer: B. AD = sqrt(CD * BD)
Answer:
B
Step-by-step explanation:
[tex]$\frac{CD}{AD} =\frac{AD}{BD} $[/tex]
[tex]AD^2=CD \cdot BD[/tex]
[tex]AD=\sqrt{CD \cdot BD}[/tex]
In this question, you are clearly supposed to use the geometric mean theorem or known as the right triangle altitude theorem. But note that there are other approaches to find the height of the triangle.
Using Pythagorean theorem:
[tex]AD^2+CD^2=AC^2 \Rightarrow AD=\sqrt{AC^2-CD^2}[/tex]
Also,
[tex]AD=AC\sin(c)[/tex]
Which equation is correct regarding the measure of ∠MNP?
Answer:
I need the numbers
Step-by-step explanation:
Answer:
m∠MNP = (x – y)
m∠MNP = (x + y)
m∠MNP = (z + y)
m∠MNP = (z – y)
In the figure below, PR and PQ are tangent to the circle with center O. Given that OQ = 10 and OP = 26, find PR.
Explanation:
OQ = 10 is the radius, and so is segment RO. Both are the same length as they are the radii of the same circle. Triangle ORP has a leg of RO = 10 and a hypotenuse of PO = 26. The unknown side is PR = x.
Use the pythagorean theorem. We can use this theorem because the tangent formed (at point R) creates a 90 degree angle.
a^2 + b^2 = c^2
(PR)^2 + (RO)^2 = (PO)^2
x^2 + 10^2 = 26^2
x^2 + 100 = 676
x^2 = 676 - 100
x^2 = 576
x = sqrt(576) ... apply square root
x = 24
One student ate 3/20 of all candies and another 1.2 lb. The second student ate 3/5 of the candies and the remaining 0.3 lb. What weight of candies did they each eat?
Answer:
First person ate 2.1 pounds and second person ate 4.8 pounds
Step-by-step explanation:
First we find the common denominator. So 3/5=12/20. 12/20+3/20+15/20. That means that 5/20=1.5 lb. So 1/20=.3 pounds. So person number one ate .9+1.2=2.1 pounds of candy and person number two ate 4.5+.3=4.8
If y varies jointly with x and y=5 when x=15 and z=24 find y when x=6 and z=14
Answer:
if they vary together then y would be 2
Step-by-step explanation:
since they vary together 5 multiplied by 3 is 15 so you would divide 6 by 3 to get 2 the z is irrelevant because it has no relation to x or y
What solid is represented by this net? A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid
i guess it is hexagonal pyramid
as it has 7 verticies
How is everyone doing today? Here is a problem for the day! Problem - 10 + 8 x 119
Answer:
..
-10 + 8× 119
= -10 + 952
= 942. .....
Answer:
236 (i think)
Step-by-step explanation:
cuz 0-10= -10+8= -2 X 119=236 (sorry if you cant read this my keyboard sucks
Aaron covers 300 miles in 6 hours, what's his average speed?
Answer:
50mph
Step-by-step explanation:
Speed=v
time=t
distance=s
v=s/t
v=300m/6h
v=50mph
Let me know if my answer is wrong.
Hope this helps :) ❤❤❤
Answer:
[tex]\boxed{Speed = 50 miles/hr}[/tex]
Step-by-step explanation:
Given:
Distance = S = 300 miles
Time = t = 6 hours
Required:
Average Speed = v = ?
Formula:
Average Speed = Total Distance Covered / Total Time Taken
Solution:
v = S/t
v = 300 miles / 6 hours
v = 50 miles/hr
Find m to the second power + 1/m to the second power if m+1/m = square root of 71 . WILL MARK BRAINLIEST
=============================================
Explanation:
Note that m + 1/m and m^2 + 1/(m^2) are very similar. If we square (m + 1/m), then we end up with something in the form (a+b)^2 = a^2 + 2ab + b^2, where a = m and b = 1/m. The 2ab portion is equal to 2*m*(1/m) = 2 which allows us to isolate m^2 + 1/(m^2) fully.
The steps below show this
[tex]m + \frac{1}{m} = \sqrt{71}\\\\\left(m + \frac{1}{m}\right)^2 = \left(\sqrt{71}\right)^2\\\\m^2 + 2*m*\frac{1}{m} + \frac{1}{m^2} = 71\\\\m^2 + 2 + \frac{1}{m^2} = 71\\\\m^2 + 2 + \frac{1}{m^2} - 2 = 71-2\\\\m^2 + \frac{1}{m^2} = 69\\\\[/tex]
-------------
Alternatively, you can isolate m in the equation [tex]m + \frac{1}{m} = \sqrt{71}[/tex] to get two irrational solutions. Plug either solution into m^2 + 1/(m^2) and you should get the same result as above.
Translate into an algebraic expression and simplify if possible. I have a total of 10 gigabytes of data on my computer, xgigabytes are movies, pictures take up half the amount of space that movies do and the rest is music. How many gigabytes of music is stored on my computer?
Answer:
(20-3x)/2 GB
Explanation:
Total amount of data on my computer = 10GB
Total amount of data occupied by movies = x GB
If pictures take up half the amount of space that movies do, then;
Total amount of data occupied by pictures = 1/2 of space occupied by movies = 1/2 x
If the remaining are music, the amount of space occupied by music will be expressed as shown;
Total space -(space occupied by movies + space occupied by pictures)
= 10 - (x+1/2 x)
Total amount of data occupied by music = 10 - (x+1/2 x) GB
On simplification;
= 10 - (x+1/2 x)
= 10-{(2x+x)/2}
= 10 - {3x/2}
= (20-3x)/2 GB
Hence, amount of gigabytes of music stored on my computer is expressed as (20-3x)/2 GB.
PLEASE HELP DUE NOW!!!!
Answer:
4. x=120
5. x=65
9. x=150
10. x=45
Step-by-step explanation:
4. Half=180
There is already a 60, so you do 180-60=120. x=120.
5. This is a parallel line, so you determine the opposite angle of 115, which is 65. That just becomes the x. x=65
9. It is similar to #5, You look at the opposite side of 30 (15+15) which is 150. That just comes to the other side which is x=150.
10. A triangle has 180 degrees in total. 45 degrees is already given, and line j is 90 degrees which means a full line is 180. 180-90=90.
90+45=135
180-135=45
x=45
Hope this helped!
Answer:
4. x=120
5. x=65
9. x=150
10. x=45
Step-by-step explanation:
4. Half=180
There is already a 60, so you do 180-60=120. x=120.
5. This is a parallel line, so you determine the opposite angle of 115, which is 65. That just becomes the x. x=65
9. It is similar to #5, You look at the opposite side of 30 (15+15) which is 150. That just comes to the other side which is x=150.
10. A triangle has 180 degrees in total. 45 degrees is already given, and line j is 90 degrees which means a full line is 180. 180-90=90.
90+45=135
180-135=45
x=45
PLEASE HELP Draw the reflection of the figure over the line shown.
The answer is in the picture
The temperature of a mixture is decreasing by 5∘C every hour. When it was first mixed, its temperature was recorded at −20∘C.
Which answer correctly represents the temperature of the mixture over time?
f(x)=−20x−5
That is incorrect.
f(x)=−5x−20
f(x)=−20x+5
f(x)=5x+20
f(x)=−15x
Answer:
f(x)=−5x−20
Step-by-step explanation:
It's decreasing 5 degrees every hour, which is represented by -5x
You also have to take away the 20 (-20) from where it started.
So, f(x)=−5x−20
Answer:
f(x) = -5x - 20
Step-by-step explanation:
f(x) = starting temperature + decreasing temperature * number of hours
= -20 + (-5) * x
= -20 - 5x
AD= 36 cm. Points C, B∈AD, such that AB:BC:CD=2:3:4. Find the distance of midpoints of the segments AB and CD.
Answer:
The distance of the midpoint of AB = 4 cm
The distance of the midpoint of CD = 28 cm
Step-by-step explanation:
The given information are;
Segment AD = 36
Point C and point B are points on AD such that AB:BC:CD = 2:3:4
Which gives;
The proportion of AB in AD = 2/(2+3+4) = 2/9
The length of AB = 2/9×36 = 8 cm
The proportion of BC in AD = 3/(2+3+4) = 3/9
The length of AD = 3/9×36 = 12 cm
The proportion of CD in AD = 3/(2+3+4) = 4/9
The length of AD = 4/9×36 = 16 cm
The coordinate of the midpoint of AB = 8/2 = 4 cm from A
The distance of the midpoint of AB = 4 cm
The coordinate of the midpoint of CD = 8 + 12 + 16/2 = 28 cm from A
The distance of the midpoint of CD = 28 cm.
Please help! Will mark as brainliest!
Answer:
x=10 and y=15
Step-by-step explanation:
1: Plug y into the equation
y=2x-5
5x-4(2x-5)=-10
2: Solve for x
-3x=-30
x=10
3: Plug x into the other equation
x=10
y=2(10)-5
4: Solve for y
y=15
Hope this helped! Brainliest would be really appreciated :)
(30 POINTS!!!) One press can run the day’s newspapers in 6 hours, while another can do the same job in 8 hours. After running together for 2 hours to complete the job, the faster one breaks. How much longer must the slower press run to finish the newspapers?
Amount of the job done after 2 hours:
2(1/6 + 1/8)
2(4/24 + 3/24)
2(7/24)
7/12 (amount of job finished)
.
amount of job left to do:
1 - 7/12
12/12 - 7/12
5/12 (remaining)
.
Let x = time (hours) slower press takes to finish job
then
x(1/6) = 5/12
multiplying both sides by 6:
x = 5/12 *6
x = 5/2 hours
or
x = 2 hours and 30 minutes
The slower press (8-hour press), will take h 3 hours, 20 minutes to complete the job
Describe the transformation of ƒ(x) = log5 x which is given by g(x) = 3 log5 (x−7). Question 16 options: A) g(x) is shrunk vertically by a factor of 1∕3 and translated to the right 7 units compared to ƒ(x). B) g(x) is stretched vertically by a factor of 2 and translated to the left 7 units compared to ƒ(x). C) g(x) is stretched vertically by a factor of 3 and translated to the right 7 units compared to ƒ(x). D) g(x) is shrunk vertically by a factor of 1∕3 and translated to the left 7 units compared to ƒ(x)
Answer:
C) g(x) is stretched vertically by a factor of 3 and translated to the right 7 units compared to ƒ(x).
Step-by-step explanation:
Notice that by transforming [tex]f(x)=log_5\,(x)[/tex] into [tex]g(x)=3\,log_5\,(x-7)[/tex] we have performed the following transformations:
a) a horizontal shift to the right 7 units by subtracting 7 from the x-variable, and
b) stretching the full function vertically by a factor of 3, by multiplying the full function by 3.
Therefore, our answer matches answer C in the list of possible options
ALGEBRA 1
Find the number of terms in the sequence given below:
1.5, 9, 13, ........, 201
a. 51
b. 42
c. 59
d. 45
Answer:
a. 51
Step-by-step explanation:
[tex]t_{n} =a+(n-1)d[/tex]
201 = 1 + (n - 1)4
200 = (n - 1)4
50 = n - 1
51 = n
I NEED HELP ASAP! What is the interquartile range (IQR) of the data set below? Will give one lucky person the title as the brainliest (if they are correct).
Hey there! I'm happy to help!
First, we arrange the numbers from least to greatest.
26,29,31,31,32,37,43
The median here is 31 because it is the middle number. The three numbers before it is one half of it and the last 3 numbers are their own half, because you cannot split the 31 between the two halves.
Now, we want to find the first quartile. This is basically the media of the first half of numbers. So, our first half consists of 26,29, and 31.
The middle number of this first half is 29.
So, our Q1 (first quartile) is 29.
Now, for the third quartile. We do the exact same thing here but with the second half.
32,37,43
Looking at this, our Q3 is 37
The interquartile range is how far apart Q1 and Q3 are, so to find it, we subtract our Q1 from the Q3.
37-29=48
Therefore, our IQR is 8.
Congratulations! Now you can find the IQR of a data set! Have a wonderful day! :D
Answer:
8
Step-by-step explanation:
You first put the numbers in order. Then you find the median(in this case, 31) and after that you find the Q1 and Q3(think of Q1 as the median of the lower half and Q3 as the mdian of the upper half.) Subtract Q1 from Q3, in this case, 37-29=8. 8 is the IQR or the interquratile range.
I need help with this question, i am not exactly sure how to do it, help is veryy much appreciated
Hurry!!
State the domain of the glven relation.
Answer:
x ≤ -1
Step-by-step explanation:
The fourth and fifth graders at Jackson Elementary had a competition to see who could
recycle the most newspaper in a 3-day period. Use the chart to answer the question,
The students at Lee Elementary collected 3 times as much as the students at Jackson. How
many pounds did the students at Lee recycle?
Answer: the elementary 45
Step-by-step explanation: if you need anything else let me know
a. Find the measure of angle A. b. Find the measure of angle CBD. c. Find the measure of AD. d. Find the measure of BC. e. Find the measure of CD. f. Find the measure of BD. Round all answers to two decimal places. please type/ explain work !
Answer:
a. m<A = 35°
b. m<CBD = 61°
c. m AD is sin55 = AD/40 AD = 32.77
d. m BC is sin 29 = 22.94/BC BC = 47.32
e. m CD is tan 29 = 22.94/CD CD = 41.38
f. m BD is cos 55 = BD/40 BD = 22.94
Step-by-step explanation:
The solution is,
a. m<A = 35°
b. m<CBD = 61°
c. m AD is sin55 = AD/40 AD = 32.77
d. m BC is sin 29 = 22.94/BC BC = 47.32
e. m CD is tan 29 = 22.94/CD CD = 41.38
f. m BD is cos 55 = BD/40 BD = 22.94
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given figure, we get,
a) ∠D = 90
i.e. ∠A= 90 - 55 = 35
b) similarly,
∠CBD = 90-29
=61
c) m AD is sin55 = AD/40
i.e. AD = 32.77
d) m BC is sin 29 = 22.94/BC
i.e. BC = 47.32
e) m CD is tan 29 = 22.94/CD
i.e. CD = 41.38
f) m BD is cos 55 = BD/40
i.e. BD = 22.94
To learn more on angle click:
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if the ratio of a to b is 10 to 3 then a is
1) 3/10 of b
2) 3 1/3 times b
3)10 times b
4)3 times b
Answer:
3 1/3 times b
Step-by-step explanation:
10+3 = 13 (total of a and b)a = 10/13 and b = 3/13a/b = (10/13)÷(3/13)= 3 1/3
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations? 3 x + 13 y = 14. 6 x + 11 y = negative 2. 4 x + 5 y = 12. 8 x + 3 y = negative 4. 5 x + 4 y = 12. 7 x + 8 y = 12. 10 x + 3 y = 8. 17 x + 6 y = 10.
Answer:choice one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I did the test
Find the variation constant and an equation of variation where y varies directly as x and y=16 when x=2
Answer:
variation constant = k = 8
equation of variation : y = 8x
Step-by-step explanation:
Any relationship of variation can be written as y = kx
where k is the variation constant.
_______________________________________
Let the equationof relation between y and x be y =kx here as well
given
y = 16 when x = 2
substituting this value in the equation y = kx
16 = k*2
=> k = 16/2 = 8
Thus,
variation constant = k = 8
equation of variation : y = 8x
Find the algebraic representation of the reflection below.
Answer:
(x,y) -> (x, -y)
Step-by-step explanation:
This is a reflection about the x-axis.
Algebraically, it can be represented by:
(x,y) -> (x, -y)
since the position along the x-axis does not change, and the y-coordinates are flipped about the x-axis, therefore flipped in sign.
Answer:
Step-by-step explanation:
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Apr 15, 2020 - Find an answer to your question Find the algebraic representation of the reflection below. a. (-x ,y) b. ( x,-y) c. (-x ,-y) d. ( y,x )